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Finding the Fourth Proportional to 12,837.23, 17,723.88 and 8,593.76

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Solution

The fourth proportional to 12,837.23, 17,723.88 and 8,593.76 is: 11,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.23 : 17,723.88 = 8,593.76 : x
  2. Step 2: Convert to fraction form
    12,837.23/17,723.88 = 8,593.76/x
  3. Step 3: Cross multiply
    12,837.23x = 17,723.88 × 8,593.76
  4. Step 4: Simplify right side
    12,837.23x = 152,314,770.99
  5. Step 5: Solve for x
    x = 152,314,770.99/12,837.23
  6. Step 6: Final answer
    x = 11,865.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.